10002310320 has 80 divisors (see below), whose sum is σ = 31087162080. Its totient is φ = 2660401152.

The previous prime is 10002310309. The next prime is 10002310333. The reversal of 10002310320 is 2301320001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002310296 and 10002310305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39792 + ... + 146928.

It is an arithmetic number, because the mean of its divisors is an integer number (388589526).

Almost surely, 2^10002310320 is an apocalyptic number.

10002310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543581040).

10002310320 is an abundant number, since it is smaller than the sum of its proper divisors (21084851760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002310320 is a wasteful number, since it uses less digits than its factorization.

10002310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107542 (or 107536 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10002310320 its reverse (2301320001), we get a palindrome (12303630321).

The spelling of 10002310320 in words is "ten billion, two million, three hundred ten thousand, three hundred twenty".